A spiking neural network implementation of Gaussian belief propagation

Abstract

Bayesian inference offers a principled account of information processing in natural agents. However, it remains an open question how neural mechanisms perform their abstract operations. We investigate a hypothesis where a distributed form of Bayesian inference, namely message passing on factor graphs, is performed by a simulated network of leaky-integrate-and-fire neurons. Specifically, we perform Gaussian belief propagation by encoding messages that come into factor nodes as spike-based signals, propagating these signals through a spiking neural network and decoding the spike-based signal back to an outgoing message. Three core linear operations, equality (branching), addition, and multiplication, are realized in networks of leaky integrate-and-fire models. Validation against the standard sum-product algorithm shows accurate message updates, while applications to Kalman filtering and Bayesian linear regression demonstrate the framework’s potential for both static and dynamic inference tasks. Our results provide a step toward biologically grounded, neuromorphic implementations of probabilistic reasoning.

Publication
Neuromorphic Computing and Engineering
Sepideh Adamiat
Sepideh Adamiat
PhD student

I am a PhD candidate at the Electrical Engineering department, Eindhoven University of Technology.

Wouter Kouw
Wouter Kouw
Assistant professor

I am an assistant professor working on active inference for mobile robots.

Bert de Vries
Bert de Vries
Professor

I am a professor at TU Eindhoven and team leader of BIASlab.